Write the Fraction in Simplest Form (4j^7)/(5(j^2)^3)

$\frac{4 j^{7}}{5 {(j^{2})}^{3}}$

Step 1

Multiply the exponents in ${(j^{2})}^{3}$ .

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$\frac{4 j^{7}}{5 j^{2 \cdot 3}}$

Multiply $2$ by $3$ .

$\frac{4 j^{7}}{5 j^{6}}$

Step 2

Cancel the common factor of $j^{7}$ and $j^{6}$ .

Factor $j^{6}$ out of $4 j^{7}$ .

$\frac{j^{6} (4 j)}{5 j^{6}}$

Cancel the common factors.

Factor $j^{6}$ out of $5 j^{6}$ .

$\frac{j^{6} (4 j)}{j^{6} \cdot 5}$

Cancel the common factor.

$\frac{j^{6} (4 j)}{j^{6} \cdot 5}$

Rewrite the expression.

$\frac{4 j}{5}$